Adiabatic Error Cancellation in Berry Phase Estimation

Quantum Physics [Submitted on 22 Apr 2026] Adiabatic Error Cancellation in Berry Phase Estimation Chusei Kiumi In this work, we show that Berry phase estimation admits a natural and universal adiabatic error-cancellation mechanism, making it a promising candidate for practical quantum computing before full fault tolerance. Combining finite-runtime evolutions under \pm H along the loop cancels the leading O(T^{-1}) phase error exactly, and Richardson extrapolation further reduces the residual error to an oscillatory term with endpoint-controlled coefficient O(\|\dot H(0)\|^2\Delta(0)^{-4}T^{-2}). Beyond this deterministic cancellation, we establish that, for suitable smooth runtime distributions, runtime randomization suppresses the remaining oscillatory contribution to O(T^{-M}) for any fixed M, leading to a randomized Hadamard-test algorithm for Berry phase estimation over the full range [0,2\pi) with improved runtime scaling under standard sample complexity. Comments: 26 pages, 2 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.20952 [quant-ph]   (or arXiv:2604.20952v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.20952 Focus to learn more Submission history From: Chusei Kiumi [view email] [v1] Wed, 22 Apr 2026 18:00:00 UTC (37 KB) Access Paper: view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)